1001001112120 has 64 divisors (see below), whose sum is σ = 2389146840000. Its totient is φ = 376150763520.

The previous prime is 1001001112099. The next prime is 1001001112151. The reversal of 1001001112120 is 212111001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001001112097 and 1001001112106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992620 + ... + 1728379.

It is an arithmetic number, because the mean of its divisors is an integer number (37330419375).

Almost surely, 2^{1001001112120} is an apocalyptic number.

1001001112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001112120 is an abundant number, since it is smaller than the sum of its proper divisors (1388145727880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001001112120 is a wasteful number, since it uses less digits than its factorization.

1001001112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721568 (or 2721564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001001112120 its reverse (212111001001), we get a palindrome (1213112113121).

The spelling of 1001001112120 in words is "one trillion, one billion, one million, one hundred twelve thousand, one hundred twenty".